List questions from matrix-calculus

Published on 05 Apr 2026 - 17:27

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$AB=BA$ implies $AB^T=B^TA$ when $A$ is normal

Published on 11 Apr 2026 - 21:29

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When I use rotation matrix z- position doesn't move. why?

Published on 05 Apr 2026 - 19:02

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lu decomposition of submatrix

Published on 10 Apr 2026 - 16:36

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Prove that if $\operatorname{rank}A=n$, then $\operatorname{rank}AB=\operatorname{rank}B$

Published on 14 Feb 2014 - 13:29

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$B^HB=b$ number of solutions

Published on 15 Feb 2014 - 17:36

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Consider the trace map $M_n (\mathbb{R}) \to \mathbb{R}$. What is its kernel?

Published on 01 Apr 2026 - 12:54

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Differentiating the composition of a scalar and a vector field using the chain rule

Published on 25 Mar 2026 - 21:48

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eigenvalues of sum of matrices: $A$+block matrix are strictly less than eigenvalues of $A$+identity

Published on 12 Apr 2026 - 2:44

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How is the derivative with respect to vector is taken in linear regression?

Published on 06 Mar 2014 - 0:12

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Derivative of the nuclear norm

Published on 25 Mar 2026 - 10:53

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Does Stein's (1952) theorem not work in a special case?

Published on 06 Mar 2014 - 2:42

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What is the derivative of a vector with respect to its transpose?

Published on 09 Mar 2014 - 1:51

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Multivariable matrix calculus textbook?

Published on 11 Apr 2026 - 17:12

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Power series for a matrix inverse

Published on 12 Apr 2026 - 1:36

List Question

How do you find angular velocity given a pair of 3x3 rotation matrices?

$AB=BA$ implies $AB^T=B^TA$ when $A$ is normal

When I use rotation matrix z- position doesn't move. why?

lu decomposition of submatrix

Prove that if $\operatorname{rank}A=n$, then $\operatorname{rank}AB=\operatorname{rank}B$

$B^HB=b$ number of solutions

Consider the trace map $M_n (\mathbb{R}) \to \mathbb{R}$. What is its kernel?

Differentiating the composition of a scalar and a vector field using the chain rule

eigenvalues of sum of matrices: $A$+block matrix are strictly less than eigenvalues of $A$+identity

How is the derivative with respect to vector is taken in linear regression?

Derivative of the nuclear norm

Does Stein's (1952) theorem not work in a special case?

What is the derivative of a vector with respect to its transpose?

Multivariable matrix calculus textbook?

Power series for a matrix inverse

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